AnswersAlgebra Concepts and ConnectionsSpecial Linear Relationships

Special Linear Relationships — Quiz Answers

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The points 3 comma 24 and 7 comma 56 represent points of a function where y , the number of photographs, varies directly with x , the number of pages in an album. Which statement describes another point on the graph of this function?

A
An 80 -page photo album holds 560 photographs.
B
A 900 -page photo album holds 8 comma 400 photographs.
C
A 100 -page photo album holds 8 comma 000 photographs.
D
A 50 -page photo album holds 400 photographs.
3

Which graphs show functions with direct variation? Choose three correct answers.

A
Image with description A coordinate plane showing Ferry Ride Cost with Number of Persons on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1 comma 2) and (5 comma 8).
B
Image with description A coordinate plane showing Breakfast Cost with Number of Meals on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1 comma 1.2) and (5 comma 6).
C
Image with description A coordinate plane showing Cost of Cinnamons with Quantity in ounces on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1 comma 0.3) and (5 comma 1.5).
D
Image with description A coordinate plane showing Ferry Ride Cost with Number of Persons on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1 comma 2) and (5 comma 8).
E
Image with description A coordinate plane showing Parking Garage Rates with Time in hours on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1 comma 2.4) and (5 comma 4).
4

Which graph represents a function with direct variation?

A
Image with description A coordinate plane with a line passing through (negative 1 comma negative 4), (0 comma 0) and (1 comma 4).
B
Image with description A coordinate plane with a line passing through (negative 5 comma 4) and (0 comma 3).
C
Image with description A coordinate plane with a line passing through (negative 4 comma 0) and (0 comma negative 2).
D
Image with description A coordinate plane with a line passing through (negative 4 comma negative 5) and (0 comma 3).
5

The depth of snow after n hours of a snowstorm is represented by the function f of open paren n plus 1 close paren is equal to f of n plus 0 point 8 where f of 0 is equal to 2 point 5 Which statement describes the sequence of numbers generated by the function?

A
The depth of snow was 0 point 8 inches when the storm began, and 2 point 5 inches after the first hour of the storm.
B
The depth of snow was 2 point 5 inches when the storm began, and increased by 0 point 8 inches each hour.
C
The depth of snow was 3 point 3 inches when the storm began, and 2 point 5 inches of snow fell in 1 hour.
D
The depth of snow was 1 point 7 inches when the storm began, and 0 point 8 inches of snow fell each hour.
6

A direct variation function contains the points 2 comma 14 and 4 comma 28 Which equation represents the function?

A
y is equal to 7 x
B
y is equal to x over 14
C
y is equal to 14 x
D
y is equal to x over 7
7

Which graph represents a function with direct variation?

A
Image with description A coordinate plane with a line passing through (negative 2, negative 3), (0, 1) and (1, 3).
B
Image with description On a coordinate plane, the x and y axes range from negative 5 to 5 in increments of 1. A v shape with an origin at 0 comma 0 goes through the point 2 comma 2 and negative 2 comma 2
C
Image with description A coordinate plane with a line passing through (negative 4 comma 2), (0 comma 0) and (4 comma negative 2).
D
Image with description On a coordinate plane, the x and y axes range from negative 5 to 5 in increments of 1. A parabola with an origin at 0 comma 0 goes through the points 2 comma 4 and negative 2 comma 4
8

The pattern of numbers shown is an arithmetic sequence. 14 comma 24 comma 34 comma 44 comma 54 comma dot dot dot Which statement describes the recursive function used to generate the sequence?

A
The common difference is 10 , so the function is f of open paren n plus 1 close paren is equal to f of n plus 10 where f of 1 is equal to 14 .
B
The common difference is 14 , so the function is f of open paren n plus 1 close paren is equal to f of n plus 14 where f of 1 is equal to 10 .
C
The common difference is 1 , so the function is f of open paren n plus 1 close paren is equal to f of n plus 1 where f of 1 is equal to 14 .
D
The common difference is 4 , so the function is f of open paren n plus 1 close paren is equal to f of n plus 4 where f of 1 is equal to 10 .
9

The force of gravity on an object varies directly with its mass. The constant of variation due to gravity is 32 point 2 feet per second squared. Which equation represents f , the force on an object due to gravity according to m , the object’s mass?

A
f is equal to 16 point 1 m
B
f is equal to 32 point 2 m
C
f is equal to the fraction with numerator 32 point 2 and denominator m squared
D
f is equal to the fraction with numerator 16 point 1 and denominator m squared
10

Which sequence is generated by the function f of open paren n plus 1 close paren is equal to f of n minus 2 for f of 1 is equal to 10 ?

A
negative 10 comma negative 12 comma negative 14 comma negative 16 comma negative 18 comma dot dot dot
B
10 comma 8 comma 6 comma 4 comma 2 comma dot dot dot
C
8 comma 18 comma 28 comma 38 comma 48 comma dot dot dot
D
negative 2 comma 8 comma 18 comma 28 comma 38 comma dot dot dot

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